You've observed the following returns on Blast It Corporation's stock over the past five years: 19...
You've observed the following returns on Blast It Corporation's stock over the past five years: 19 percent, -23 percent, 31 percent, 18 percent, and -7 percent, respectively. What was the variance of the returns over this period?
must be entered as decimals rather than percentages, with 4 digits to the right of the decimal point.
**I'm seeing contradicting answers on here, some are saying 438.8% and some are saying .04838 and I don't know which one is correct, if any**
Homework Answers
Average return=Total return/Total time period
=(19-23+31+18-7)/5=7.6%
| Return | (Return-Average return)^2 |
| 19 | (19-7.6)^2=129.96 |
| -23 | (-23-7.6)^2=936.36 |
| 31 | (31-7.6)^2=547.56 |
| 18 | (18-7.6)^2=108.16 |
| -7 | (-7-7.6)^2=213.16 |
| Total=1935.2% |
Standard deviation=[Total (Return-Average return)^2/(Time period-1)]^(1/2)
=[1935.2/(5-1)]^(1/2)
=[1935.2/4]^(1/2)
=22%(Approx)
Variance=Standard deviation^2
=0.0484(Approx).
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